77467825 has 24 divisors (see below), whose sum is σ = 99870840. Its totient is φ = 59558400.

The previous prime is 77467783. The next prime is 77467829. The reversal of 77467825 is 52876477.

It can be written as a sum of positive squares in 12 ways, for example, as 12439729 + 65028096 = 3527^2 + 8064^2 .

It is not a de Polignac number, because 77467825 - 2⁷ = 77467697 is a prime.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (77467829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81855 + ... + 82795.

It is an arithmetic number, because the mean of its divisors is an integer number (4161285).

Almost surely, 2^77467825 is an apocalyptic number.

77467825 is the 4705-th nonagonal number.

It is an amenable number.

77467825 is a deficient number, since it is larger than the sum of its proper divisors (22403015).

77467825 is a wasteful number, since it uses less digits than its factorization.

77467825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1072 counting only the distinct ones).

The product of its digits is 658560, while the sum is 46.

The square root of 77467825 is about 8801.5808239202. The cubic root of 77467825 is about 426.2919395271.

The spelling of 77467825 in words is "seventy-seven million, four hundred sixty-seven thousand, eight hundred twenty-five".